Title :
Control of center manifolds
Author :
Hamzi, Boumediene ; Kang, Wei ; Krener, Arthur J.
Author_Institution :
Dept. of Math., California Univ., Davis, CA, USA
Abstract :
In this paper, we use a feedback to change the orientation and the shape of the center manifold of a system with uncontrollable linearization. This change directly affect the reduced dynamics on the center manifold, and hence change the stability properties of the original system.
Keywords :
feedback; nonlinear control systems; stability; center manifolds control; feedback; stability properties; uncontrollable linearization; Control systems; Differential equations; Eigenvalues and eigenfunctions; Linear feedback control systems; Mathematics; Nonlinear dynamical systems; Nonlinear systems; Partial differential equations; Shape control; Stability;
Conference_Titel :
Decision and Control, 2003. Proceedings. 42nd IEEE Conference on
Print_ISBN :
0-7803-7924-1
DOI :
10.1109/CDC.2003.1272921
